14

Part of 2012 Hanoi Open Mathematics Competitions

Problems(2)

Q14 - Hanoi Open Mathematical Olympiad 2012 - Junior Section

Source:

Q14. Let be given a trinagle

ABC

\angle A=90^o

and the bisectrices of angles

B

C

I

IH

is perpendicular to

BC

H

BC

HB=5 \text{cm}, \; HC=8 \text{cm}

, compute the area of

\triangle ABC

geometryinradiustrigonometry

Solve the following Equation:

Source:

Help me, plz! : Solve, in integers, the equation 16x + 1 = (x^2 - y^2)^2 ?